I agree with you that Super Mario Bros. 3 is a great game. It is one of the most popular and critically acclaimed games in the Super Mario Bros. series. It introduced a number of new features, such as the ability to fly with the cape, and it expanded the level design to include more complex and challenging levels.
I also really enjoy Super Mario World. It is a great game that took the formula of Super Mario Bros. 3 and improved upon it in a number of ways. The levels are more visually stunning, the controls are more responsive, and the gameplay is more challenging.
My personal favorite Super Mario Bros. game is Super Mario 64. It was the first 3D Mario game, and it was a groundbreaking game that changed the way we think about video games. The level design is amazing, the controls are tight, and the gameplay is incredibly fun.